Generator-offset property: Difference between revisions

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 == Related properties ==
-* A strengthening of the generator-offset property, tentatively named ''alternating split-generator-class'' (ASGC), states that ''g''<sub>1</sub> and ''g''<sub>2</sub> can be taken to be the same number of scale steps, thus both representing "detemperings" of a generator of a single-period [[mos]] scale (otherwise known as a well-formed scale). Only odd AG scales and xyxz can satisfy this property. The Zarlino and diasem scales above are both ASGC. [[Blackdye]] is AG but not ASGC.
+* A strengthening of the generator-offset property, tentatively named ''split-generator-alternant'' (SGA), states that ''g''<sub>1</sub> and ''g''<sub>2</sub> can be taken to be the same number of scale steps, thus both representing "detemperings" of a generator of a single-period [[mos]] scale (otherwise known as a well-formed scale). Only odd AG scales and xyxz can satisfy this property. The Zarlino and diasem scales above are both SGA. [[Blackdye]] is AG but not SGA.
 == Theorems ==